The ratio of the length of the corresponding side of two regular polygons is 3: 4. the area of the larger polygon is 320m. what is the are of the smaller polygon

The answer is 180 sq m.

Step-by-step explanation:

As given, the ratio of the length of the corresponding side of two regular polygons is 3:4. So, the ratio of areas is

The area of the larger polygon is 320m. So, let the area of the smaller polygon be = x

As the ration is 9:16 , we can say that :

This gives x = 180

Hence, the area of the smaller polygon is 180 square meter.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.